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145918620 = 22325810659
BaseRepresentation
bin10001011001010…
…00101010011100
3101011120102201100
420230220222130
5244323343440
622251313100
73421200501
oct1054505234
9334512640
10145918620
1175404901
1240a4b790
13243002a3
14155454a8
15cc25230
hex8b28a9c

145918620 has 36 divisors (see below), whose sum is σ = 442620360. Its totient is φ = 38911584.

The previous prime is 145918603. The next prime is 145918621. The reversal of 145918620 is 26819541.

145918620 is a `hidden beast` number, since 1 + 4 + 591 + 8 + 62 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145918621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405150 + ... + 405509.

It is an arithmetic number, because the mean of its divisors is an integer number (12295010).

Almost surely, 2145918620 is an apocalyptic number.

145918620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145918620 is an abundant number, since it is smaller than the sum of its proper divisors (296701740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145918620 is a wasteful number, since it uses less digits than its factorization.

145918620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810674 (or 810669 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 145918620 is about 12079.6779758403. The cubic root of 145918620 is about 526.4658895713.

The spelling of 145918620 in words is "one hundred forty-five million, nine hundred eighteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 810659 1621318 2431977 3242636 4053295 4863954 7295931 8106590 9727908 12159885 14591862 16213180 24319770 29183724 36479655 48639540 72959310 145918620